Answer:
Step-by-step explanation:
So in our case, let assume 'x' as a common factor.
Thus,
4x + 5x + 7x = 5600;
16x = 5600;
x = 5600/16 = 350.
So,
4x= 350*4 =1400;
5x= 350*5 = 1750; &
7x= 350*7 = 2450.
Your answer is, 5600 = 1400+1750+2450 which is in ratio of 4:5:7.
Answer: A. 47
Step-by-step explanation: The answer would be 47 degrees because the 47 degree angle has one mark, and so does x and y. This means that these angles are the same.
Answer:
5.5%
Step-by-step explanation:
Given data
Simple interest = $137.50
Principal= $500
time = 5 years
We want to find the rate R
Simple interest= PRT/100
137.50 = 500*R*5/100
137.50=2500R/100
cross multiply
137.5*100= 2500R
13750= 2500R
divide both sides by 2500
R= 13750/2500
R=5.5%
Hence the rate is 5.5%
5x - 100 + x - 20 = 180 (sum of supplementary angles is equal 180)
6x - 120 = 180
6x = 300
x = 50
x - 20 = 50 - 20 = 30
so
3y = 30 (vertical angles are equal)
y = 10
The length of the island will be given as follows:
tan θ=opposite/adjacent
thus:
tan75.8= 3000/a1
a1=3000tan75.8
a1=11855.885 ft
also:
tan15.6=3000/a2
a2=3000tan15.6
a2=837.62 ft
Thus the length of the island will be:
11855.885-837.615
=11,018.24 ft